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Finding the Third Proportional to 44.13 and 96.88

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Solution

The third proportional to 44.13 and 96.88 is: 212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.13 : 96.88 = 96.88 : x
  2. Step 2: Convert to fraction form
    44.13/96.88 = 96.88/x
  3. Step 3: Cross multiply
    44.13x = 96.88 × 96.88
  4. Step 4: Simplify right side
    44.13x = 9,384.77
  5. Step 5: Solve for x
    x = 9,384.77/44.13
  6. Step 6: Final answer
    x = 212.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.